7.
根据如图所示的程序框图,将输出的\(x\),\(y\)的值依次分别记为\(x_{1}\),\(x_{2}\),\(x_{3}\),\(…\),\(x_{k}\);\(y_{1}\),\(y_{2}\),\(y_{3}\),\(…\),\(y_{k}\).
\((1)\)分别求数列\(\{x\)\({\,\!}_{k}\)
\(\}\)和\(\{y\)\({\,\!}_{k}\)
\(\}\)的通项公式; \((2)\)令\(z\)\({\,\!}_{k}\)\(=x\)\({\,\!}_{k}\)\(y\)\({\,\!}_{k}\),求数列\(\{z\)\({\,\!}_{k}\)\(\}\)的前\(k\)项和\(T\)\({\,\!}_{k}\),其中\(k∈N\)\({\,\!}^{*}\),\(k\leqslant 2 018\).